Boehner (R-Ohio) made the comment in an interview with ABC News, released two days after President Obama's decisive reelection victory over Mitt Romney.
The defeat and those figures have triggered a round of soul-searching by Republicans.
Boehner offered optimism that his party could come to an agreement with Obama on immigration, a subject that has hurt the GOP with Hispanic voters.
"This issue has been around far too long," Boehner said in the ABC interview. "A comprehensive approach is long overdue, and I'm confident that the president, myself, others can find the common ground to take care of this issue once and for all."